Answer
See graph
Work Step by Step
$$x^2+y^2+6y=0$$
Complete the square.
$$x^2+y^2+6y+9=9$$
$$x^2+(y+3)^2=9$$
The center is (0,-3) and the radius is 3.
Points to plot are:
$$(3,-3)$$
$$(-3,-3)$$
$$(0,0)$$
$$(0,-6)$$
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 10 - Section 10.1 - The Parabola and the Circle - Exercise Set - Page 610: 29
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